2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/220667It was proved by H. Whitney in 1933 that a Serre fibration of compact metric spaces admits a global section provided every fiber is homeomorphic to the unit interval [0,1]. Results of this paper extend Whitney theorem to the case when all fibers are homeomorphic to a given compact two-dimensional manifold.Geometric TopologyGeneral Topology57N05, 57N10, 54C65text